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簡諧運動教學實驗設計

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Academic year: 2021

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圖 1:利用參考圓求得簡諧運動的位移數學式
圖 3:利用參考圓求得簡諧運動的加速度數學式 從以上的分析可以了解到,在簡諧運動中的位移、速度、加速度的數學型態均與 cos  或 sin 有關。此理論的說明雖然簡單明白,但是要設計其相關實驗卻不容易。因為簡諧運動是 屬於一維空間的運動,而等速率圓周運動是二維空間的運動,也因此在大部分的相關教學設 計上,均以動畫的方式呈現[5]。而本文將利用公共免費授權軟體 Tracker,設計一個連結簡 諧運動與等速率圓周運動的實驗,我們並且將分析實驗結果,藉此實驗讓學生除了動畫以 外,可以真正的從實驗了解到簡諧運動
圖 6:不同擬合參數間的關係圖 伍、 結論  本實驗中,在低操作電壓的條件下,例如 1.5V,此時旋轉台的轉速較慢,藉由分析所得 到的 a 2 =0.2889,而 2  a 1 / b 1  0

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